Capacity, Stability, and Extremal Length

  • Burton Rodin
  • Leo Sario
Part of the The University Series in Higher Mathematics book series (USHM)


We begin by considering a harmonic function whose boundary behavior is a combination of L0- and L1-type behavior. This leads to a generalization of harmonic measure and capacity. In §2 we relate this function to some extremal length problems. The remaining sections treat applications to conformal mapping and stability problems.


Riemann Surface Boundary Component Ideal Boundary Extremal Length Nonempty Closed Subset 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© D. Van Nostrand Company, Inc. 1968

Authors and Affiliations

  • Burton Rodin
    • 1
  • Leo Sario
    • 2
  1. 1.University of CaliforniaSan DiegoUSA
  2. 2.University of CaliforniaLos AngelesUSA

Personalised recommendations